Question

What is the 50th term of the sequence that begins -4, 2, 8, 14....?

Answer 1

Answer:

$a_{50}=290$

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term $a_1=-4$. and common difference "d" = 6.

Recall now the formula for the nth term ($a_n$) of an arithmetic sequence:

$a_n=a_1+(n-1)\,d$

Then, using our values in the formula, we get:

$a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290$